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Part $1$

Development of Version $2\mathrm{.}0$ of a particular accounting software product is being considered by Jose$$ Noguera's technology firm in Baton Rouge. The activities necessary for the completion of this project are listed in the following$$ table:

$$

Activity

Normal Time$($weeks$)$

Crash Time$($weeks$)$

Normal Cost

Total Cost with Crashing

Immediate$$ Predecessor$($s$)$

A

$44$

$33$

$ $2$ comma $000$$$2,000$

$ $2$ comma $650$$$2,650$

long dash$$

B

$22$

$11$

$ $2$ comma $300$$$2,300$

$ $2$ comma $900$$$2,900$

long dash$$

C

$33$

$33$

$ $500$$$500$

$ $500$$$500$

long dash$$

D

$88$

$44$

$ $2$ comma $300$$$2,300$

$ $2$ comma $580$$$2,580$

A

E

$66$

$33$

$ $900$$$900$

$ $1$ comma $275$$$1,275$

B

F

$33$

$22$

$ $3$ comma $400$$$3,400$

$ $4$ comma $900$$$4,900$

C

G

$44$

$22$

$ $1$ comma $600$$$1,600$

$ $2$ comma $000$$$2,000$

$$D$,$ E

Part $2$

$$a$)$ Based on the given information regarding the activities for the$$ project, the project length$=$

$$

$1616$ weeks.

Part $3$

$$b$)$ The total cost required for completing this project on normal time$=$$

$$

$1300013000.$

Part $4$

$$c$)$ For reducing the duration of the project by one$$ week, the activity that should be crashed first is activity

D

$.$

Part $5$

The cost of the project based on the first activity selected for crashing will increase by $$$

$$

$7070.$

Part $6$

$$d$)$ The maximum weeks by which the project can be reduced by crashing$=$

$7$

weeks.

Part $7$

Total cost of crashing the project to minimum$($or maximum weeks$$ possible$)=$$

$$

$1,4551,455.$